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Finding the Fourth Proportional to 407,803.60, 562,749.92 and 226,527.20

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Solution

The fourth proportional to 407,803.60, 562,749.92 and 226,527.20 is: 312,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,803.60 : 562,749.92 = 226,527.20 : x
  2. Step 2: Convert to fraction form
    407,803.60/562,749.92 = 226,527.20/x
  3. Step 3: Cross multiply
    407,803.60x = 562,749.92 × 226,527.20
  4. Step 4: Simplify right side
    407,803.60x = 127,478,163,677.82
  5. Step 5: Solve for x
    x = 127,478,163,677.82/407,803.60
  6. Step 6: Final answer
    x = 312,596.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.